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12332211250040 = 235113657135251
BaseRepresentation
bin1011001101110101000100…
…0100100010001101111000
31121122221121000011011201022
42303131101010202031320
53104022332040000130
642121201210042012
72411654456030003
oct263352104421570
947587530134638
1012332211250040
113a25074829000
121472094719308
136b5bcba53756
14308c4cad453a
15165bc83e87e5
hexb3751122378

12332211250040 has 128 divisors (see below), whose sum is σ = 30525648733440. Its totient is φ = 4483630800000.

The previous prime is 12332211250013. The next prime is 12332211250069. The reversal of 12332211250040 is 4005211223321.

It is a super-2 number, since 2×123322112500402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12332211249991 and 12332211250009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349822415 + ... + 349857665.

It is an arithmetic number, because the mean of its divisors is an integer number (238481630730).

Almost surely, 212332211250040 is an apocalyptic number.

12332211250040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332211250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15262824366720).

12332211250040 is an abundant number, since it is smaller than the sum of its proper divisors (18193437483400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12332211250040 is a wasteful number, since it uses less digits than its factorization.

12332211250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41866 (or 41840 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 12332211250040 its reverse (4005211223321), we get a palindrome (16337422473361).

The spelling of 12332211250040 in words is "twelve trillion, three hundred thirty-two billion, two hundred eleven million, two hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 4840 5324 6571 6655 10648 13142 13310 26284 26620 32855 35251 52568 53240 65710 70502 72281 131420 141004 144562 176255 262840 282008 289124 352510 361405 387761 578248 705020 722810 775522 795091 1410040 1445620 1551044 1590182 1938805 2891240 3102088 3180364 3877610 3975455 4265371 6360728 7755220 7950910 8530742 8746001 15510440 15901820 17061484 17492002 21326855 31803640 34122968 34984004 42653710 43730005 46919081 69968008 85307420 87460010 93838162 170614840 174920020 187676324 231634321 234595405 349840040 375352648 463268642 469190810 926537284 938381620 1158171605 1853074568 1876763240 2316343210 2547977531 4632686420 5095955062 9265372840 10191910124 12739887655 20383820248 25479775310 28027752841 50959550620 56055505682 101919101240 112111011364 140138764205 224222022728 280277528410 308305281251 560555056820 616610562502 1121110113640 1233221125004 1541526406255 2466442250008 3083052812510 6166105625020 12332211250040